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Akimi4 [234]
3 years ago
6

Ms. Rose bought a pack of star stickers. Out of every 10 stars, 4 are gold. If there are 60 stars in the pack, what fraction of

the stars in the pack are gold? What percent of the stars in the pack are gold?
Mathematics
1 answer:
bezimeni [28]3 years ago
3 0

Answer:

for the fraction its 2,5 for the percentage its 40%

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The following is an arithmetic sequence.<br> -3, 3, -3, 3, true or false
kow [346]

Answer:

False.

Step-by-step explanation:

It is a Geometric sequence with common ratio -1:

-3, (-3)(-1), (-3)(-1)^2 , (-3)(-1)^3

= -3, 3, -3, 3

4 0
3 years ago
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A simple random sample of size equals 49 is obtained from a population with mu equals 88 and sigma equals 14. ​(a) Describe the
Gnoma [55]

Answer:

a) \bar X \sim N(88,\frac{14}{\sqrt{49}}=2)  

b) P(\bar X >91.2)=1-P(\bar X

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Let X the random variable that represent the variable of interest on this case, and for this case we know the distribution for X is given by:  

X \sim N(\mu=88,\sigma=14)  

And let \bar X represent the sample mean, by the central limit theorem, the distribution for the sample mean is given by:  

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})  

​(a) Describe the sampling distribution of x overbar.

\bar X \sim N(88,\frac{14}{\sqrt{49}}=2)  

(b) What is Upper P (x overbar greater than 91.2 )​

First we can to find the z score for the value of 91.2. And in order to do this we need to apply the formula for the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

If we apply this formula to our probability we got this:  

z=\frac{91.2-88}{\frac{14}{\sqrt{49}}}=1.6

And we want to find this probability:

P(\bar X >91.2)=1-P(\bar X

On this last step we use the complement rule.

3 0
3 years ago
Michael walked mile to the store in hour. What is her walking pace?
34kurt

Answer:

I am not completely sure but I think the answer would be the 2nd one, 1 3/5. I am sorry if I am wrong but I hope I could help! :)

Step-by-step explanation:

5 0
2 years ago
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Are 11:17 an 17:11 equivalent
lisabon 2012 [21]
No they are not equivalent
5 0
3 years ago
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Keyon and two of his friends are going to rent a 3 bedroom apartment for $840 a month. The security deposit is $500 and the pet
natta225 [31]

Answer:

A) $ 535

Step-by-step explanation:

Given,

Rent amount = $ 840,

Security deposit = $ 500,

Pet deposit =  $ 265

Total deposit = 840 + 500 + 265 = $ 1605,

Also, the number of person = 3,

If they split the cost evenly,

Then, amount paid by each = \frac{\text{Total deposit}}{\text{Total person}}

=\frac{1605}{3}

=\$ 535

Option 'A' is correct.

7 0
3 years ago
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